Semantical considerations on nonmonotonic logic
Artificial Intelligence
Applications of circumscription to formalizing common-sense knowledge
Artificial Intelligence
The mathematics of inheritance systems
The mathematics of inheritance systems
Foundations of logic programming; (2nd extended ed.)
Foundations of logic programming; (2nd extended ed.)
Readings in nonmonotonic reasoning
A skeptical theory of inheritance in nonmonotonic semantic networks
Artificial Intelligence
Nonmonotonic reasoning, preferential models and cumulative logics
Artificial Intelligence
Formalization of inheritance reasoning in autoepistemic logic
Fundamenta Informaticae
Probabilistic semantics for nonmonotonic reasoning: a survey
Proceedings of the first international conference on Principles of knowledge representation and reasoning
Cumulative default logic: in defense of nonmonotonic inference rules
Artificial Intelligence
A mathematical treatment of defeasible reasoning and its implementation
Artificial Intelligence
Conditional entailment: bridging two approaches to default reasoning
Artificial Intelligence
Resolving ambiguity in nonmonotonic inheritance hierarchies
Artificial Intelligence
A nonmonotonic reasoning formalism using implicit specificity information
Proceedings of the second international workshop on Logic programming and non-monotonic reasoning
On Stein's paper: resolving ambiguity in nonmonotonic inheritance hierarchies
Artificial Intelligence
Reasoning about priorities in default logic
AAAI'94 Proceedings of the twelfth national conference on Artificial intelligence (vol. 2)
On Sandewall's paper: Nonmonotonic inference rules for multiple inheritance with exceptions
Artificial Intelligence
An abstract, argumentation-theoretic approach to default reasoning
Artificial Intelligence
Lexicographic priorities in default logic
Artificial Intelligence
Preferred answer sets for extended logic programs
Artificial Intelligence
Reasoning with Prioritized Defaults
LPKR '97 Selected papers from the Third International Workshop on Logic Programming and Knowledge Representation
Adding Priorities and Specificity to Default Logic
JELIA '94 Proceedings of the European Workshop on Logics in Artificial Intelligence
Nonmonotonic Inheritance, Argumentation and Logic Programming
LPNMR '95 Proceedings of the Third International Conference on Logic Programming and Nonmonotonic Reasoning
How to prefer more specific defaults in terminological default logic
IJCAI'93 Proceedings of the 13th international joint conference on Artifical intelligence - Volume 1
A default interpretation of defeasible network
IJCAI'97 Proceedings of the 15th international joint conference on Artifical intelligence - Volume 1
Compiling reasoning with and about preferences into default logic
IJCAI'97 Proceedings of the 15th international joint conference on Artifical intelligence - Volume 1
A clash of intuitions: the current state of nonmonotonic multiple inheritance systems
IJCAI'87 Proceedings of the 10th international joint conference on Artificial intelligence - Volume 1
IJCAI'85 Proceedings of the 9th international joint conference on Artificial intelligence - Volume 1
On the comparison of theories: preferring the most specific explanation
IJCAI'85 Proceedings of the 9th international joint conference on Artificial intelligence - Volume 1
A skeptic's menagerie: conflictors, preemptors, reinstates, and zombies in nonmonotonic inheritance
IJCAI'91 Proceedings of the 12th international joint conference on Artificial intelligence - Volume 1
Complexity of argument-based default reasoning with specificity
AI Communications
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We present a new approach to reasoning with specificity which subsumes inheritance reasoning. The new approach differs from other approaches in the literature in the way priority between defaults is handled. Here, it is context sensitive rather than context independent as in other approaches. We show that any context independent handling of priorities between defaults as advocated in the literature until now is not sufficient to capture general defeasible inheritance reasoning. We propose a simple and novel argumentation semantics for reasoning with specificity taking the context-dependency of the priorities between defaults into account. Since the proposed argumentation semantics is a form of stable semantics of nonmonotonic reasoning, it inherits a common problem of the latter where it is not always defined for every default theory. We identify the class of stratified default theories which is large enough to accommodate acyclic and consistent inheritance networks and for which the argumentation semantics is always defined. We also prove that the argumentation semantics satisfies the basic properties of a nonmonotonic consequence relation such as deduction, reduction, conditioning, and cumulativity for stratified default theories.